6533b85cfe1ef96bd12bc7b7
RESEARCH PRODUCT
MUTUAL INDUCTANCE FOR AN EXPLICITLY FINITE NUMBER OF TURNS
John T. Conwaysubject
Mathematical analysisSolenoidDerivation of self inductanceCondensed Matter PhysicsElectronic Optical and Magnetic MaterialsGeometric progressionExponential functionInductancesymbols.namesakesymbolsLimit (mathematics)Electrical and Electronic EngineeringFinite setBessel functionMathematicsdescription
Non coaxial mutual inductance calculations, based on a Bessel function formulation, are presented for coils modelled by an explicitly flnite number of circular turns. The mutual inductance of two such turns can be expressed as an integral of a product of three Bessel functions and an exponential factor, and it is shown that the exponential factors can be analytically summed as a simple geometric progression, or other related sums. This allows the mutual inductance of two thin solenoids to be expressed as an integral of a single analytical expression. Sample numerical results are given for some representative cases and the approach to the limit where the turns are considered to be smeared out over the solenoid windings is explored.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-01-01 | Progress In Electromagnetics Research B |